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3401440440 = 2335269105373
BaseRepresentation
bin1100101010111101…
…1101110010111000
322210001102002002120
43022233131302320
523431232043230
61321304401240
7150201523656
oct31257356270
98701362076
103401440440
11149602a602
127ab176220
1342290b668
14243a63dd6
1514d93e310
hexcabddcb8

3401440440 has 64 divisors (see below), whose sum is σ = 10242352800. Its totient is φ = 903670272.

The previous prime is 3401440423. The next prime is 3401440457. The reversal of 3401440440 is 440441043.

It is an interprime number because it is at equal distance from previous prime (3401440423) and next prime (3401440457).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3401440440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20407 + ... + 84966.

Almost surely, 23401440440 is an apocalyptic number.

3401440440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3401440440 is an abundant number, since it is smaller than the sum of its proper divisors (6840912360).

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

3401440440 is a wasteful number, since it uses less digits than its factorization.

3401440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105656 (or 105652 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3401440440 is about 58321.8693116056. The cubic root of 3401440440 is about 1503.9069173851.

Adding to 3401440440 its reverse (440441043), we get a palindrome (3841881483).

The spelling of 3401440440 in words is "three billion, four hundred one million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 3228 4035 5380 6456 8070 10760 16140 32280 105373 210746 316119 421492 526865 632238 842984 1053730 1264476 1580595 2107460 2528952 3161190 4214920 6322380 12644760 28345337 56690674 85036011 113381348 141726685 170072022 226762696 283453370 340144044 425180055 566906740 680288088 850360110 1133813480 1700720220 3401440440