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3404742480 = 2432514513259
BaseRepresentation
bin1100101011110000…
…0011111101010000
322210021121211122100
43022330003331100
523433103224410
61321503240400
7150241555626
oct31274037520
98707554570
103404742480
111497985467
127b02a9100
134234c6629
14244283516
1514dd928c0
hexcaf03f50

3404742480 has 120 divisors (see below), whose sum is σ = 11445651360. Its totient is φ = 907027200.

The previous prime is 3404742469. The next prime is 3404742491. The reversal of 3404742480 is 842474043.

It is a happy number.

3404742480 is a `hidden beast` number, since 3 + 404 + 7 + 4 + 248 + 0 = 666.

3404742480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3404742469) and next prime (3404742491).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043091 + ... + 1046349.

It is an arithmetic number, because the mean of its divisors is an integer number (95380428).

Almost surely, 23404742480 is an apocalyptic number.

3404742480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722825680).

3404742480 is an abundant number, since it is smaller than the sum of its proper divisors (8040908880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3404742480 is a wasteful number, since it uses less digits than its factorization.

3404742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 3404742480 is about 58350.1712079750. The cubic root of 3404742480 is about 1504.3934127199.

The spelling of 3404742480 in words is "three billion, four hundred four million, seven hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1451 2902 3259 4353 5804 6518 7255 8706 9777 11608 13036 13059 14510 16295 17412 19554 21765 23216 26072 26118 29020 29331 32590 34824 39108 43530 48885 52144 52236 58040 58662 65180 65295 69648 78216 87060 97770 104472 116080 117324 130360 130590 146655 156432 174120 195540 208944 234648 260720 261180 293310 348240 391080 469296 522360 586620 782160 1044720 1173240 2346480 4728809 9457618 14186427 18915236 23644045 28372854 37830472 42559281 47288090 56745708 70932135 75660944 85118562 94576180 113491416 141864270 170237124 189152360 212796405 226982832 283728540 340474248 378304720 425592810 567457080 680948496 851185620 1134914160 1702371240 3404742480