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354007040 = 2115181191
BaseRepresentation
bin10101000110011…
…011100000000000
3220200010102100212
4111012123200000
51211111211130
655043333252
711526003332
oct2506334000
9820112325
10354007040
11171911802
129a681228
135845a02a
1435031452
152112ae95
hex1519b800

354007040 has 96 divisors (see below), whose sum is σ = 858574080. Its totient is φ = 140083200.

The previous prime is 354007019. The next prime is 354007057. The reversal of 354007040 is 40700453.

It is a junction number, because it is equal to n+sod(n) for n = 354006997 and 354007015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1853345 + ... + 1853535.

It is an arithmetic number, because the mean of its divisors is an integer number (8943480).

Almost surely, 2354007040 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 354007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

354007040 is an abundant number, since it is smaller than the sum of its proper divisors (504567040).

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

354007040 is a wasteful number, since it uses less digits than its factorization.

354007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 354007040 is about 18815.0748071859. The cubic root of 354007040 is about 707.4090848645.

Adding to 354007040 its reverse (40700453), we get a palindrome (394707493).

The spelling of 354007040 in words is "three hundred fifty-four million, seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 191 256 320 362 382 512 640 724 764 905 955 1024 1280 1448 1528 1810 1910 2048 2560 2896 3056 3620 3820 5120 5792 6112 7240 7640 10240 11584 12224 14480 15280 23168 24448 28960 30560 34571 46336 48896 57920 61120 69142 92672 97792 115840 122240 138284 172855 185344 195584 231680 244480 276568 345710 370688 391168 463360 488960 553136 691420 926720 977920 1106272 1382840 1853440 1955840 2212544 2765680 4425088 5531360 8850176 11062720 17700352 22125440 35400704 44250880 70801408 88501760 177003520 354007040