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3453449040 = 243351598819
BaseRepresentation
bin1100110111010111…
…0111001101010000
322220200021101111000
43031311313031100
524033040332130
61330403222000
7151402555356
oct31565671520
98820241430
103453449040
111512422418
12804677900
1343061b092
1424a9217d6
151532b4260
hexcdd77350

3453449040 has 80 divisors (see below), whose sum is σ = 11895220800. Its totient is φ = 920919168.

The previous prime is 3453448967. The next prime is 3453449047. The reversal of 3453449040 is 409443543.

It is a happy number.

3453449040 is a `hidden beast` number, since 34 + 534 + 4 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 3453448986 and 3453449004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3453449047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797250 + ... + 801569.

It is an arithmetic number, because the mean of its divisors is an integer number (148690260).

Almost surely, 23453449040 is an apocalyptic number.

3453449040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3453449040 is an abundant number, since it is smaller than the sum of its proper divisors (8441771760).

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

3453449040 is a wasteful number, since it uses less digits than its factorization.

3453449040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598841 (or 1598829 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3453449040 is about 58766.0534662657. The cubic root of 3453449040 is about 1511.5331766209.

The spelling of 3453449040 in words is "three billion, four hundred fifty-three million, four hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1598819 3197638 4796457 6395276 7994095 9592914 12790552 14389371 15988190 19185828 23982285 25581104 28778742 31976380 38371656 43168113 47964570 57557484 63952760 71946855 76743312 86336226 95929140 115114968 127905520 143893710 172672452 191858280 215840565 230229936 287787420 345344904 383716560 431681130 575574840 690689808 863362260 1151149680 1726724520 3453449040