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342054240 = 25351164783
BaseRepresentation
bin10100011000110…
…101010101100000
3212211122011012120
4110120311111200
51200031213430
653535224240
711322261453
oct2430652540
9784564176
10342054240
11166098460
1296678080
1355b33678
14335dd49a
1520069610
hex14635560

342054240 has 96 divisors (see below), whose sum is σ = 1175440896. Its totient is φ = 82920960.

The previous prime is 342054221. The next prime is 342054241. The reversal of 342054240 is 42450243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3420542402 = 234002206203955200, which contains 22 as substring.

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 342054240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342054241) 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, 27112 + ... + 37671.

It is an arithmetic number, because the mean of its divisors is an integer number (12244176).

Almost surely, 2342054240 is an apocalyptic number.

342054240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342054240 is an abundant number, since it is smaller than the sum of its proper divisors (833386656).

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

342054240 is a wasteful number, since it uses less digits than its factorization.

342054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64812 (or 64804 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 342054240 is about 18494.7084324139. The cubic root of 342054240 is about 699.3560336139.

The spelling of 342054240 in words is "three hundred forty-two million, fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 64783 129566 194349 259132 323915 388698 518264 647830 712613 777396 971745 1036528 1295660 1425226 1554792 1943490 2073056 2137839 2591320 2850452 3109584 3563065 3886980 4275678 5182640 5700904 6219168 7126130 7773960 8551356 10365280 10689195 11401808 14252260 15547920 17102712 21378390 22803616 28504520 31095840 34205424 42756780 57009040 68410848 85513560 114018080 171027120 342054240