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103034952 = 23329714753
BaseRepresentation
bin1100010010000…
…11000001001000
321011212201101100
412021003001020
5202334104302
614120221400
72360532306
oct611030110
9234781340
10103034952
1153184759
122a60a860
1318467037
14d981276
1590a3d1c
hex6243048

103034952 has 48 divisors (see below), whose sum is σ = 281948940. Its totient is φ = 33988608.

The previous prime is 103034933. The next prime is 103034957. The reversal of 103034952 is 259430301.

It can be written as a sum of positive squares in 2 ways, for example, as 102941316 + 93636 = 10146^2 + 306^2 .

It is a super-3 number, since 3×1030349523 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103034957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393 + ... + 14360.

Almost surely, 2103034952 is an apocalyptic number.

103034952 is a gapful number since it is divisible by the number (12) 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 103034952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140974470).

103034952 is an abundant number, since it is smaller than the sum of its proper divisors (178913988).

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

103034952 is a wasteful number, since it uses less digits than its factorization.

103034952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14862 (or 14855 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 103034952 is about 10150.6133804810. The cubic root of 103034952 is about 468.8078311582.

The spelling of 103034952 in words is "one hundred three million, thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 14753 29506 44259 59012 88518 118024 132777 177036 265554 354072 531108 1062216 1431041 2862082 4293123 5724164 8586246 11448328 12879369 17172492 25758738 34344984 51517476 103034952