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354430104 = 233719373001
BaseRepresentation
bin10101001000000…
…010110010011000
3220200220220200220
4111020002302120
51211213230404
655100400040
711532414630
oct2510026230
9820826626
10354430104
11172080646
129a846020
1358577772
14351016c0
15211b14d9
hex15202c98

354430104 has 128 divisors (see below), whose sum is σ = 1095129600. Its totient is φ = 93312000.

The previous prime is 354430061. The next prime is 354430147. The reversal of 354430104 is 401034453.

It is an interprime number because it is at equal distance from previous prime (354430061) and next prime (354430147).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 116604 + ... + 119604.

It is an arithmetic number, because the mean of its divisors is an integer number (8555700).

Almost surely, 2354430104 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 354430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547564800).

354430104 is an abundant number, since it is smaller than the sum of its proper divisors (740699496).

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

354430104 is a wasteful number, since it uses less digits than its factorization.

354430104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 354430104 is about 18826.3141373982. The cubic root of 354430104 is about 707.6907743435.

Adding to 354430104 its reverse (401034453), we get a palindrome (755464557).

The spelling of 354430104 in words is "three hundred fifty-four million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 37 38 42 56 57 74 76 84 111 114 133 148 152 168 222 228 259 266 296 399 444 456 518 532 703 777 798 888 1036 1064 1406 1554 1596 2072 2109 2812 3001 3108 3192 4218 4921 5624 6002 6216 8436 9003 9842 12004 14763 16872 18006 19684 21007 24008 29526 36012 39368 42014 57019 59052 63021 72024 84028 111037 114038 118104 126042 168056 171057 222074 228076 252084 333111 342114 399133 444148 456152 504168 666222 684228 777259 798266 888296 1197399 1332444 1368456 1554518 1596532 2109703 2331777 2394798 2664888 3109036 3193064 4219406 4663554 4789596 6218072 6329109 8438812 9327108 9579192 12658218 14767921 16877624 18654216 25316436 29535842 44303763 50632872 59071684 88607526 118143368 177215052 354430104