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354975420 = 2235311391373
BaseRepresentation
bin10101001010000…
…111111010111100
3220201221121201210
4111022013322330
51211333203140
655120204420
711540145522
oct2512077274
9821847653
10354975420
11172413318
129aa69710
1358708a37
1435204312
152126cd80
hex15287ebc

354975420 has 96 divisors (see below), whose sum is σ = 1034127360. Its totient is φ = 90881280.

The previous prime is 354975403. The next prime is 354975431. The reversal of 354975420 is 24579453.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257854 + ... + 259226.

It is an arithmetic number, because the mean of its divisors is an integer number (10772160).

Almost surely, 2354975420 is an apocalyptic number.

354975420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354975420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517063680).

354975420 is an abundant number, since it is smaller than the sum of its proper divisors (679151940).

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

354975420 is a wasteful number, since it uses less digits than its factorization.

354975420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 354975420 is about 18840.7913846526. The cubic root of 354975420 is about 708.0535326116.

The spelling of 354975420 in words is "three hundred fifty-four million, nine hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 139 155 186 278 310 372 417 465 556 620 695 834 930 1373 1390 1668 1860 2085 2746 2780 4119 4170 4309 5492 6865 8238 8340 8618 12927 13730 16476 17236 20595 21545 25854 27460 41190 42563 43090 51708 64635 82380 85126 86180 127689 129270 170252 190847 212815 255378 258540 381694 425630 510756 572541 638445 763388 851260 954235 1145082 1276890 1908470 2290164 2553780 2862705 3816940 5725410 5916257 11450820 11832514 17748771 23665028 29581285 35497542 59162570 70995084 88743855 118325140 177487710 354975420