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34903836684 = 2235196130983
BaseRepresentation
bin100000100000011011…
…100100100000001100
310100002111201121200000
4200200123210200030
51032440340233214
624011250204300
72343643500543
oct404033444014
9110074647600
1034903836684
1113891340122
126921283690
1333a3324602
14199183715a
15d943d7809
hex8206e480c

34903836684 has 144 divisors (see below), whose sum is σ = 97894567680. Its totient is φ = 10841221440.

The previous prime is 34903836673. The next prime is 34903836701. The reversal of 34903836684 is 48663830943.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34903836684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111057 + ... + 1142039.

Almost surely, 234903836684 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 34903836684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48947283840).

34903836684 is an abundant number, since it is smaller than the sum of its proper divisors (62990730996).

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

34903836684 is a wasteful number, since it uses less digits than its factorization.

34903836684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31082 (or 31068 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 34903836684 in words is "thirty-four billion, nine hundred three million, eight hundred thirty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 81 108 114 122 162 171 183 228 243 244 324 342 366 486 513 549 684 732 972 1026 1098 1159 1539 1647 2052 2196 2318 3078 3294 3477 4617 4636 4941 6156 6588 6954 9234 9882 10431 13908 14823 18468 19764 20862 29646 30983 31293 41724 59292 61966 62586 92949 93879 123932 125172 185898 187758 278847 281637 371796 375516 557694 563274 588677 836541 1115388 1126548 1177354 1673082 1766031 1889963 2354708 2509623 3346164 3532062 3779926 5019246 5298093 5669889 7064124 7528869 7559852 10038492 10596186 11339778 15057738 15894279 17009667 21192372 22679556 30115476 31788558 34019334 35909297 47682837 51029001 63577116 68038668 71818594 95365674 102058002 107727891 143048511 143637188 153087003 190731348 204116004 215455782 286097022 306174006 323183673 430911564 459261009 572194044 612348012 646367346 918522018 969551019 1292734692 1837044036 1939102038 2908653057 3878204076 5817306114 8725959171 11634612228 17451918342 34903836684