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354114020 = 225131997739
BaseRepresentation
bin10101000110110…
…101100111100100
3220200022212010002
4111012311213210
51211123122040
655045520432
711526630251
oct2506654744
9820285102
10354114020
11171985117
129a713118
1358496930
143505c428
152114ca15
hex151b59e4

354114020 has 96 divisors (see below), whose sum is σ = 852835200. Its totient is φ = 122425344.

The previous prime is 354114017. The next prime is 354114053. The reversal of 354114020 is 20411453.

354114020 = 23022 + 23032 + ... + 23662.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 354113983 and 354114001.

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, 478811 + ... + 479549.

It is an arithmetic number, because the mean of its divisors is an integer number (8883700).

Almost surely, 2354114020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426417600).

354114020 is an abundant number, since it is smaller than the sum of its proper divisors (498721180).

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

354114020 is a wasteful number, since it uses less digits than its factorization.

354114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 354114020 is about 18817.9175255925. The cubic root of 354114020 is about 707.4803367449.

Adding to 354114020 its reverse (20411453), we get a palindrome (374525473).

The spelling of 354114020 in words is "three hundred fifty-four million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 97 130 190 194 247 260 380 388 485 494 739 970 988 1235 1261 1478 1843 1940 2470 2522 2956 3686 3695 4940 5044 6305 7372 7390 9215 9607 12610 14041 14780 18430 19214 23959 25220 28082 36860 38428 47918 48035 56164 70205 71683 95836 96070 119795 140410 143366 182533 192140 239590 280820 286732 358415 365066 479180 716830 730132 912665 931879 1361977 1433660 1825330 1863758 2723954 3650660 3727516 4659395 5447908 6809885 9318790 13619770 17705701 18637580 27239540 35411402 70822804 88528505 177057010 354114020