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345374001 = 32721947877
BaseRepresentation
bin10100100101011…
…111110100110001
3220001212211001200
4110211133310301
51201403432001
654134321413
711362426200
oct2445376461
9801784050
10345374001
11167a55665
12977b9269
135672671b
1433c25237
15204c3086
hex1495fd31

345374001 has 72 divisors (see below), whose sum is σ = 624574080. Its totient is φ = 182782656.

The previous prime is 345373997. The next prime is 345374011. The reversal of 345374001 is 100473543.

It is not a de Polignac number, because 345374001 - 22 = 345373997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345374011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393375 + ... + 394251.

It is an arithmetic number, because the mean of its divisors is an integer number (8674640).

Almost surely, 2345374001 is an apocalyptic number.

It is an amenable number.

345374001 is a deficient number, since it is larger than the sum of its proper divisors (279200079).

345374001 is a wasteful number, since it uses less digits than its factorization.

345374001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 345374001 is about 18584.2406624538. The cubic root of 345374001 is about 701.6112550456.

The spelling of 345374001 in words is "three hundred forty-five million, three hundred seventy-four thousand, one".

Divisors: 1 3 7 9 19 21 47 49 57 63 133 141 147 171 329 399 423 441 877 893 931 987 1197 2303 2631 2679 2793 2961 6139 6251 6909 7893 8037 8379 16663 18417 18753 20727 41219 42973 43757 49989 55251 56259 116641 123657 128919 131271 149967 288533 349923 370971 386757 393813 783161 816487 865599 1049769 2019731 2349483 2449461 2596797 5482127 6059193 7048449 7348383 16446381 18177579 38374889 49339143 115124667 345374001