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351825240 = 233513225529
BaseRepresentation
bin10100111110000…
…110110101011000
3220112000120111110
4110332012311120
51210031401430
654524500320
711501315364
oct2476066530
9815016443
10351825240
11170661568
12999aa6a0
1357b74c20
1434a242a4
1520d497b0
hex14f86d58

351825240 has 64 divisors (see below), whose sum is σ = 1136671200. Its totient is φ = 86602752.

The previous prime is 351825239. The next prime is 351825283. The reversal of 351825240 is 42528153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 351825198 and 351825207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111205 + ... + 114324.

Almost surely, 2351825240 is an apocalyptic number.

351825240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351825240 is an abundant number, since it is smaller than the sum of its proper divisors (784845960).

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

351825240 is a wasteful number, since it uses less digits than its factorization.

351825240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225556 (or 225552 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 351825240 is about 18757.0050914318. The cubic root of 351825240 is about 705.9527985413.

The spelling of 351825240 in words is "three hundred fifty-one million, eight hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 225529 451058 676587 902116 1127645 1353174 1804232 2255290 2706348 2931877 3382935 4510580 5412696 5863754 6765870 8795631 9021160 11727508 13531740 14659385 17591262 23455016 27063480 29318770 35182524 43978155 58637540 70365048 87956310 117275080 175912620 351825240