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150103434 = 2313359193
BaseRepresentation
bin10001111001001…
…10010110001010
3101110110001012110
420330212112022
5301411302214
622521123150
73501600225
oct1074462612
9343401173
10150103434
1177802a28
12423294b6
1325137000
1415d145bc
15d2a0159
hex8f2658a

150103434 has 64 divisors (see below), whose sum is σ = 332438400. Its totient is φ = 45167616.

The previous prime is 150103427. The next prime is 150103469. The reversal of 150103434 is 434301051.

150103434 = 33922 + 33932 + ... + 34042.

It is a self number, because there is not a number n which added to its sum of digits gives 150103434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777642 + ... + 777834.

It is an arithmetic number, because the mean of its divisors is an integer number (5194350).

Almost surely, 2150103434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150103434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166219200).

150103434 is an abundant number, since it is smaller than the sum of its proper divisors (182334966).

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

150103434 is a wasteful number, since it uses less digits than its factorization.

150103434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 150103434 is about 12251.6706615873. The cubic root of 150103434 is about 531.4513843377.

Adding to 150103434 its reverse (434301051), we get a palindrome (584404485).

The spelling of 150103434 in words is "one hundred fifty million, one hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 59 78 118 169 177 193 338 354 386 507 579 767 1014 1158 1534 2197 2301 2509 4394 4602 5018 6591 7527 9971 11387 13182 15054 19942 22774 29913 32617 34161 59826 65234 68322 97851 129623 148031 195702 259246 296062 388869 424021 444093 777738 848042 888186 1272063 1924403 2544126 3848806 5773209 11546418 25017239 50034478 75051717 150103434